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Given the curve C in parametric form : C : x = 2cos t , y...

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Basic Math

Given the curve C in parametric form :

C : x = 2cos t , y = 2sin t , z = 2t ; 0? t ? 2pi

a) the velocity v(t)

b) the speed ds/dt

c) the acceleration a(t)

d) the unit tangent vector T(t)

e) The curvature k and the normal vector N(t)

f) the binormal vector B(t)

g) The tangential and normal components of accelertation

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